4 - 7k = 3 - 6k
⇒ 4 - 3 = 7k - 6k
⇒ k = 1
The value of k is 1.
In this equation, k is a variable.
In an experimental study, the independent variable can be changed, manipulated, or adjusted.
What are Variables?Any attribute, feature, number, or amount that changes over time, or that can have a variety of values depending on the circumstances, is referred to as a variable.In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are both variables. The reason they are called dependent variables because, during an experiment, their values are examined under the presumption or requirement that they are dependent on the values of other variables due to some rule or law. In turn, independent variables aren't cohered as dependent on any other variables within the context of the experiment in question. In this context, some frequent independent variables are time, space, density, mass, fluid flow rate, and prior values of some observed value of interest to forecast future values (the dependent variable).To learn more about Variables, refer to:
https://brainly.com/question/17344045
#SPJ13
Assume that TUVE AWXY. Which of the following congruence statements
are correct? Check all that apply.
A. TU = YX
B. ZULT
C.LY/V
D. ZW= LT
E. ZX=ZT
☐ F. VU = WX
Jeffrey invests $500 every month and earns interest at a rate of 12% p.a, compounded monthly.
a. Jeffrey wants to buy a car worth $41000 after five years. Can he afford it? If not, how much does he need? (2.d.p)
b. How much is the fund worth after 20 years? (2.d.p)
c. How much interest did he earn over 20 years? (2.d.p)
a) Jeffrey needs an extra amount of $40,357.5 for buying a car.
b) After 20 years fund is worth $1364.
c) After 20 years $1200 interest had been earned.
a) P = $500
r = 12% = 12 ÷ 100 = 0.12
n = 12 because it was compounded 12 times in a year.
t = 5 years
Therefore,
A = 500 × [tex](\frac{1 + 0.12}{12})^{60}[/tex]
A = 500 × [tex](\frac{1 + 0.12}{12})^{60}[/tex]
A = 500 × 1.285
A = $ 642.5
Jeffrey needs an extra $40,357.5 for buying a car.
b) P = $500
r = 12% = 12 ÷ 100 = 0.12
n = 12 because it was compounded 12 times in a year.
t = 20 years
Therefore,
A = 500 × [tex](\frac{1 + 0.12}{12})^{240}[/tex]
A = 500 × [tex](\frac{1 + 0.12}{12})^{240}[/tex]
A = 500 × 2.728
A = $1364
After 20 years fund is worth $1364.
c) Simple interest = P × R × T ÷ 100
Simple interest = 500 × 12 × 20 ÷ 100
Simple interest = $1200
After 20 years $1200 interest had been earned.
Read more about compound interest at
https://brainly.com/question/19054226?referrer=searchResults
#SPJ1
Tony went on holiday to Canada.
His flights cost a total of £1600
Tony stayed for 12 nights.
His hotel cost $184 per night.
Tony used wifi for 9 days.
Wifi cost $6 per day.
Tony took a taxi 6 times costing a mean average of $27 per taxi journey.
The exchange rate was $1.83 to £1
Work out the total cost of the flights, the hotel room, the wifi and 6 taxi journeys.
Give your answer in pounds.
Answer:
Step-by-step explanation:
(12 nights)($184) = $2208
(9 nights)($6) = $54
(6 taxi rides)($27) = $162
$2208 + $54 + $162 = $2424
We will use a ratio to calculate American dollars to pounds
2424/x = 1.83/1
Cross multiply
1.83x=2424
Divide
= ~£1324.59
£1324.59 + £1600 = £2924.59
The answer is ~2924.59 pounds
The total cost of the flights, the hotel room, the wifi, and 6 taxi journeys for Tony's holiday in Canada is approximately £2925.13.
Given that Tony is vacationing in Canada, his flight cost is £1600, he stayed for 12 nights, his hotel cost $184 per night, Tony used wifi for 9 days. Wifi cost $6 per day. Tony took a taxi 6 times costing a mean average of $27 per taxi journey.
The exchange rate was $1.83 to £1.
We need to find the total cost his spend in the vacation.
To calculate the total cost of Tony's holiday, we need to convert all the expenses to pounds and then sum them up.
Flights cost: £1600
Hotel cost per night: $184
Hotel cost for 12 nights: 12 nights x $184/night = $2208
Wifi cost per day: $6
Wifi cost for 9 days: 9 days x $6/day = $54
Taxi cost per journey (mean average): $27
Total taxi cost for 6 journeys: 6 journeys x $27/journey = $162
Now, we need to convert the costs from dollars to pounds using the exchange rate of $1.83 to £1.
Flights cost in pounds: £1600
Hotel cost in pounds: $2208 / $1.83 = £1207.10
Wifi cost in pounds: $54 / $1.83 = £29.51
Taxi cost in pounds: $162 / $1.83 = £88.52
Finally, we can calculate the total cost in pounds:
Total cost = Flights cost + Hotel cost + Wifi cost + Taxi cost
Total cost = £1600 + £1207.10 + £29.51 + £88.52
Total cost = £2925.13
So, the total cost for Tony's holiday in Canada is approximately £2925.13.
Learn more about exchange rate click;
https://brainly.com/question/34627038
#SPJ4
Find the equation of a line perpendicular to y=3x+3 that passes through the point (3,2)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{3} x + 3\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{3\implies\cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}[/tex]
so we're really looking for the equation of a line whose slope is -1/3 and that is passes through (3 , 2)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=- \cfrac{1}{3}x+1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{3}x+3 \end{array}}[/tex]
867,000 rounded to the nearest ten thousand is
Answer:
870,000
Step-by-step explanation:
Ten thousand is 10,000.
The ten thousand value here is 6
The thousand value here is 7.
Using rounding rules, 5 and up goes up therefore the ten thousand value becomes 7.
867,000 --> 870,000
Hope that helps
Answer the 2 question in the photo ( easy points + brainliest )
Answer:
I think the first number is 45 and the second number is 81.
Step-by-step explanation:
45 > 42 but 45 < 55 81 > 80 but 81 < 89
A rectangle has length 8*10^4 mm and width 4*10^4 mm. The rectangle's length is how many times its width?
Answer:
The rectangles length is 2 times as much as its width.
Step-by-step explanation:
8 x 10⁴ = 80,000
4 x 10⁴ = 40,000
40,000 x 2 = 80,000
A pancakes recipe needs 6 eggs to make 16 servings. If Ms. Moon wants to make a pancakes that serves 24 people, how many eggs will she need?
12 eggs cost $2.56. How much is one egg? (unit rate)
(3, -5)(7,-5)(7,2)(3,3)
Find the area of the rectangle
Answer: The answer could be 28 but I need to know what is the length and what is the height.
Step-by-step explanation:
I will just name the points for simplicity:
A - (3, -5)
B - (7, -5)
C - (7, 2)
D - (3, 3)
A to B - 4
B to C - 7
C to D - 4.1231
***
Distance (d) = √(3 - 7)^2 + (3 - 2)^2
= √(-4)^2 + (1)^2
= √17
= 4.1231056256177
***
D to A - 8
4 * 7 = 28
How do you Make Seven an even number?
Just take off the "S" from Seven.
"Even" is formed.
How to make Seven an even number?Just take the "S" out of Seven. It becomes "even."
An even number is one that divides by two and leaves a 0 as the final result.
2, 4, 6, 8, 10, and other even numbers are examples.
To really make 7 an even number, add 1.
7 + 1 = 8
It becomes 8, which is even.
Another way to make it even is to subtract 1.
7 - 1 = 6
It becomes 6, which is even.
To learn more about even numbers, refer
https://brainly.com/question/11865527
#SPJ13
What is the least common multiple of 15, 45, and 37?
Answer: 1665
Step-by-step explanation:
Prime factorization of the numbers:
15 = 3 × 5
45 = 3 × 3 × 5
37 = 37
LCM(15, 45, 37)
= 3 × 3 × 5 × 37
= 1665
Hope this helps!
The midpoint of line segment AB is M(3,-1). If the coordinates of A(8,4), what are the coordinates of B?
The coordinate B are (-2, -6)
Given that, the coordinates of the midpoint of line segment AB are (3,-1). Also, coordinates of A are (8,4).
Let the coordinates of B be (a,b)
We know that,
Midpoint of two points (x1,y1) and (x2,y2) is calculated by the formula
[tex]\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex]
Hence, midpoint of AB= [tex]\frac{8+a}{2} ,\frac{4+b}2}[/tex] = (3,-1)
[tex]\frac{8+a}{2}= 3 ,\frac{4+b}2} = -1[/tex]
8+a = 6, 4+b= -2
a = -2 b = -6
Hence the coordinate B are (-2, -6)
What do you mean by midpoint?In geometry, a centroid is the mid point of a segment. It is equidistant from both endpoints and is the mid point of both the segment and the endpoints. This divides the segment into two.
mid point can be calculated by [tex]\frac{A+B}{2}[/tex]
To learn more about midpoint, refer;
https://brainly.com/question/28224145
#SPJ13
solve for missing length, round to nearest if necessary. (check if all of these are correct) if it’s not correct say the number and the answer
Answer:
2. 14.42
3. 17.69
6. 12.8
9. 10.29 (I cant see your answer)
Rest is correct ;D
Step-by-step explanation:
Can someone help me solve this please ? I’m having a really hard time solving it
The features of the triangle are summarized below:
AC = √7 + √6 AB² = AC² = 13 + 2√42, BC² = 13 + 2√42.There is 45-45-90 right triangle as BC = √2 · AB = √2 · AC. The triangle has an area of approximately 12.980 square units.How to analyze a given triangle based on its sides
In this problem we find the case of a triangle whose three sides (AB, AC, BC) are known. First, we rationalize the expression for AC, that is, eliminate the irrational denominator by algebraic means:
AC = 1 / (√7 - √6)
AC = [1 / (√7 - √6)] · [(√7 + √6) / (√7 + √6)]
AC = (√7 + √6) / [(√7 - √6) · (√7 + √6)]
AC = (√7 + √6) / (7 - 6)
AC = √7 + √6
Second, we determine the square of each side:
AB² = (√7 + √6)²
AB² = 7 + 2√42 + 6
AB² = 13 + 2√42
AC² = (√7 + √6)
AC² = 13 + 2√42
BC² = (√14 + 2√3)²
BC² = 14 + 4√42 + 12
BC² = 26 + 4√42
BC² = 2 · (13 + 2√42)
BC² = 2 · AB² = 2 · AC²
Third, deduce the nature of the triangle:
Since BC = √2 · AB = √2 · AC, then the triangle ABC is a right triangle with internal angles 45° - 45° - 90°.
Fourth, calculate the area of the triangle by Heron's formula:
s = 0.5 · (AB + AC + BC)
s = 0.5 · (√7 + √6 + √7 + √6 + √14 + 2√3)
s = 0.5 · (2√7 + 2√6 + √14 + 2√3)
s = √7 + √6 + 0.5√14 + √3
A = √[s · (s - AB) · (s - AC) · (s - BC)]
A = √[(√7 + √6 + 0.5√14 + √3) · (√7 + √6 + 0.5√14 + √3 - √7 - √6) · (√7 + √6 + 0.5√14 + √3 - √7 - √6) · (√7 + √6 + 0.5√14 + √3 - √14 - 2√3)]
A = √[(√7 + √6 + 0.5√14 + √3) · (0.5√14 + √3) · (0.5√14 + √3) · (√7 + √6 - 0.5√14 - √3)]
A = √[8.698 · (8.698 - 5.095) · (8.698 - 5.095) · (8.698 - 7.206)]
A = √(8.698 · 3.603² · 1.492)
A ≈ 12.980
To learn more on triangles: https://brainly.com/question/16886469
#SPJ1
x² - 6 = 54
I don’t understand
Answer:x squared = 60
Step-by-step explanation:
x2-6=54, first you have to cancel out the 6 on the left side by adding 6 to -6 after doing that you are left with
x2-(-6+6)=54
but since you did +6 on the right side you have to do +6 on the left so after that you are left with
x2=54+6
now you just do 54+6=60 so after all of that you get
x2=60
(you can use a calculator to find the square root of 60)
Please help me I need help
Answer:
16 and -16
Step-by-step explanation:
Answer: D. 16 and -16
Step-by-step explanation: I dont think you need an explanation because it is multiple choice.
the height of a is approximately normally distributed. duncan and shane are duncan is 32.0 inches tall and is at the 32nd percentile of the distribution which is closest to the mean
Duncan's height is the closest to the mean for the given normal distribution.
What is termed as the normal distribution?The normal distribution, also recognized as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.The probability density function for just a continuous random variable in such a system defines the Normal Distribution. Assume that f(x) is the probability density function as well as X is a random variable.We learn from the question that
Given that 3-year-old boys' heights are roughly normally distributed, the mean will be the 50th.
Thus, comparing Duncan's height in the 32th percentile and Shane's height in the 62nd percentile with the mean height in the percentile 50.
i.e
50 - 32 = 18
and
62 - 50 = 12
Duncan's height is the closest to the mean.
To know more about normal distribution, here
https://brainly.com/question/23418254
#SPJ9
The complete question is -
The height of 3-year-old boys is approximately normally distributed. Duncan and Shane are 3 year old boys. Duncan is 32.0 inches tall and is in the 32nd percentile. Shane is 34.0 inches tall and is at the 62nd percentile. Which is the closest to the mean
Identify the GCF of the following terms; 18a^4b^9c^2 and 34a^6b^5 and 22a^8bc^7
The greatest common factor of the given terms is 2a⁴b
Greatest Common Factor (GCF)From the question, we are to determine the greatest common factors of the given terms
The given terms are
18a^4b^9c^2 and 34a^6b^5 and 22a^8bc^7
That is,
18a⁴b⁹c² and 34a⁶b⁵ and 22a⁸bc⁷
We will express each of the given terms as a product of their factors
18a⁴b⁹c² = 2 × 3 × 3 × a⁴ × b⁸ × b × c²
34a⁶b⁵ = 2 × 17 × a⁴ × a² × b⁴ × b
22a⁸bc⁷ = 2 × 11 × a⁴ × a⁴ × b × c⁷
Hence, the GCF is 2 × a⁴ × b = 2a⁴b
Learn more on Greatest common factor here: https://brainly.com/question/189182
#SPJ1
|−4| Choose... equal to |4|. |−4| is the distance from −4 to Choose... on a number line.
Estimate the percentage of engineers that are chemical engineers using the following data
-Total number of engineers listed in this figure is approximately 1,326,800.
-chemical engineers: 27,860
Show work and type formulas Speed=distance=
Time
Based on the number of people who are engineers and those who are chemical engineers, the percentage who are chemical engineers is 2.01%
How to find the percentage?To find the percentage of something out of the total number, the formula is:
= Number of selected variables / Total number of variables x 100%
The selected variable here is chemical engineers so the percentage of chemical engineers out of the total number of engineers is:
= Number of chemical engineers / Total number of engineers x 100%
= 27,860 / 1,326,800 x 100%
= 2.01%
Find out more on percentages at https://brainly.com/question/24304697
#SPJ1
figure 1 and figure 2 below are similar. which point corresponds to point S.
Both figures 1 & 2 are similar
Point S in figure 1 corresponds to Point P in fugure 2
What is the name of the line of reflection for the pair of figures?
Enter your answer in the box.
line
Answer: r
Step-by-step explanation:
The figures are symmetrical about line r.
how to solve please
The reasons that proves the congruency of the triangles are;
2.7 [tex] \Delta EDF \cong \Delta FGE[/tex] by SSS congruency postulate
2.8 [tex] \Delta AOB \cong \Delta COB[/tex], by SAS congruency rule
[tex] \Delta AOB \cong \Delta COB[/tex], by ASA congruency rule or postulate
What are the triangle congruency rules?The rules that proves two triangles to be congruent is if they satisfy any of the 5 rules of congruency, which are; Side–side–side, or SSS, side–angle–side, or SAS, side–angle–angle, or SAA, angle–side–angle, or ASA, and right angle–hypotenuse–side, or RHS
2.7 The given parameters of the two triangles are;
DE = GF, and DF = GE
Required;
To prove that
[tex] \Delta EDF \cong \Delta FGE[/tex]
Solution;
From the given diagram, we have;
[tex]EF \cong FE[/tex]
Reflexive property
Therefore;
[tex] \Delta EDF \cong \Delta FGE[/tex]
Side–Side–Side, SSS rule of congruency
The Side–Side–Side congruency postulate states that if the three sides of one triangle are congruent to three sides of another triangle, then both triangles are congruent.
2.8 The circle information are;
The midpoint (center) of the circle = Point O
Segment OB is perpendicular to segment AC, [tex] OB \perp AC [/tex]
OB bisects AC
Required;
To prove that [tex] \Delta AOB \cong \Delta COB[/tex]
Solution;
Segment OA and OC are the radius of circle O
Therefore;
[tex] OA \cong OC[/tex] by the properties of the radius of a circle
The angle [tex] \angle OAB \cong \angle OCB [/tex] ; Base angles of isosceles triangle ∆OAC
[tex] AB \cong BC[/tex], Segments formed by the perpendicular bisector OB
Given that AB, [tex] \angle OAB [/tex] and OA in [tex] \Delta AOB [/tex] are congruent to BC, [tex] \angle OCB [/tex] and OB in [tex] \Delta COB [/tex], we have;
[tex] \Delta AOB \cong \Delta COB[/tex] by Side–Angle–Side, SAS congruency postulateSecond proof;
Given that OB is the perpendicular bisector of AC, we have;
[tex] \angle OBA \cong \angle OBC = 90^{\circ} [/tex], definition of angles formed by perpendicular lines
[tex] AB \cong BC[/tex]
Therefore;
[tex] \Delta AOB \cong \Delta COB[/tex] by Angle–Side–Angle, ASA, congruency postulateLearn more about the triangle congruency here:
https://brainly.com/question/2273907
#SPJ1
Determine the bonus based upon the formula 2 weeks' salary plus 1 percent commission:
annual salary: $48,000.00
yearly sales: $76,000.00
The bonus based upon the given formula is $2606.15 approximately
Given,
Annual salary = $48,000
Yearly sales = $76,000
Bonus is given according to the formula:
2 weeks salary + 1 percentage commission
Here,
Annual salary is given as $48,000
We have to find the weekly salary:
There is 52 weeks in a year.
So, salary for one week = Annual salary / number of weeks = 48000/52 = $923.077
Now, salary for two weeks = 923.077 × 2 = $1846.154
Rate of annual commission is 1%
The commission amount:
1% of yearly sales = 1% of 76000 = (1/100) × 76000 = $760
So,
The bonus amount = 2 weeks salary + 1 percentage commission
The bonus amount = 1846.154 + 760
The bonus amount = 2606.154
Therefore, the bonus given based upon the given formula is $2606.154
Learn more about bonus here:
https://brainly.com/question/13063413
#SPJ1
Can 6 1/5 be turned into a decimal
Answer: Yes, 6.20
Step-by-step explanation:
1/5 is equal to 0.20, so 6 1/5 equals 6.20
Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
#y
○_f(x) = x(x − a)²(x −b)4
f(x) = x(x − a)³(x − b)²
f(x) = x²(x-a)(x - b)²
O f(x) = x²(x-a)5(x - b)
X
Answer: C
f(x)= x^4(x-a)(x-b)^2
Answer:
[tex]f(x)=x^4(x-a)(x-b)^2[/tex]
Step-by-step explanation:
The graph of a polynomial function will:
touch the x-axis at zeros with even multiplicities. cross the x-axis at zeros with odd multiplicities.The zero at the origin (0, 0) touches the x-axis and so it has an even multiplicity (exponent). Therefore, we can immediately discount the first two answer options as both have x as a zero (x = x¹ so its exponent is odd).
The end behavior of the graphed function means the leading coefficient is positive and the degree of the polynomial is odd.
The sum of the multiplicities is the degree of the polynomial function.
[tex]f(x)=x^4(x-a)(x-b)^2 \implies \textsf{Sum of multiplicities}: 4+1+2=7[/tex]
[tex]f(x)=x^2(x-a)^5(x-b) \implies \textsf{Sum of multiplicities}: 2+5+1=8[/tex]
Therefore, the only function that could represent the given graph is
[tex]\boxed{f(x)=x^4(x-a)(x-b)^2}[/tex]
as its degree is odd and it has a zero at the origin with even multiplicity.
2 regular pizzas and 3 small pizzas cost £43 8 regular pizzas and 9 small pizzas cost £151 find the cost of one of each
Taking into account the definition of a system of linear equations, a small pizza and a regular pizza cost £7 and £11 respectively.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. This mieans thar systems of linear equations have as a solution set all ordered pairs (x, y) that satisfy the equation, where x and y are real numbers.
This caseIn this case, a system of linear equations must be proposed taking into account that:
"r" is the cost of a regular pizza."s" is the cost of a small pizza.You know:
2 regular pizzas and 3 small pizzas cost £43.8 regular pizzas and 9 small pizzas cost £151.The system of equations to be solved is
2r + 3s= 43
8r + 9s= 151
Of the several methods to solve a system of equations. it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "r" from the first equation:
2r= 43 - 3s
r= (43 -3s)÷2
r= 43/2 - 3/2s
Replacing this expression in the second equation:
8×(43/2 - 3/2s) + 9s= 151
Solving:
8×43/2 - 8×3/2s + 9s= 151
172 -12s + 9s= 151
-12s + 9s= 151 - 172
-3s= -21
s= (-21)÷ (-3)
s= 7
Remembering that r=43/2 - 3/2s you get:
r=43/2 - 3/2×7
r= 11
Finally, a small pizza cost £7 and a regular pizza cost £11.
Learn more about system of equations:
brainly.com/question/20533585
#SPJ1
Classify the following numbers as rational
or irrational.
3.1415926535... 0 V1 7.4 15 V3
pls helpp
Answer: 2.5.02
Step-by-step explanation:
You are one of five people who have been hired to mow the lawn at the local college . Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the value. Your plot has a length which is five more than two times and the width is three less than three times x.
A.) What are the dimensions of your mowing plot ? Length : Width :
B.) What is the area of your plot (area=length x width)? Show all steps.
Area:
C.) if x=13 meters , how many square meters is your plot? Area:
An algebraic statement with parentheses is known as a factored form. A factored form is essentially a sum of products. or a sum of sums plus their products.
What is meant by factored form?An algebraic statement with parentheses is known as a factored form. A factored form is essentially a sum of products. or a sum of sums plus their products. A factored form can represent any logic function, and every factored form represents some logic function.
1a)The length given as words is "3 more than 7 times x"
The width given as words is "4 times x minus 2"
The expression for length would be 7x + 3
The expression for width would be 4x - 2
1b)Area = length × width
To estimate the algebraic expressions for length and width
Area = (7x + 3)(4x - 2) = 28x² - 14x + 12x - 6 = 28x² - 2x - 6
Area = 28x² - 2x - 6
Given x = 10,
Let the equation be 28 x² - 2x - 6
substitute the value of x, in the above equation, we get
= 28(10)² - 2(10) - 6
= 2774
Area = 2774 sq . m
2. We can group the first two terms and next two terms:
xy - 4y + 7x - 28 = (xy - 4y) + (7x - 28)
simplifying the above equation, we get
y(x - 4) + 7(x - 4) = (x - 4)(y + 7)
Therefore, the equation is in factored form.
The complete question is:
1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow change. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length that is three more than seven times x and the width is four times x minus 2.a.) What are the dimensions of your mowing plot? (2 points)
Length: ______________________________________
Width: ______________________________________
b.) What is the area of your plot (remember area = length x width)? (2 points)
Area: _________________________________________
c.) If x = 10 meters, how many square meters is your plot? (show steps)(2 points)
Area: _________________________________________
2.) Factor by grouping: (4 points)
xy − 4y + 7x − 28
To learn more about factored form refer to:
https://brainly.com/question/43919
#SPJ13